Step |
Hyp |
Ref |
Expression |
1 |
|
r111 |
|
2 |
|
omsson |
|
3 |
|
f1ores |
|
4 |
1 2 3
|
mp2an |
|
5 |
|
f1of1 |
|
6 |
4 5
|
ax-mp |
|
7 |
|
r1fnon |
|
8 |
|
fvelimab |
|
9 |
7 2 8
|
mp2an |
|
10 |
|
fveq2 |
|
11 |
10
|
eleq1d |
|
12 |
|
fveq2 |
|
13 |
12
|
eleq1d |
|
14 |
|
fveq2 |
|
15 |
14
|
eleq1d |
|
16 |
|
r10 |
|
17 |
16
|
eleq1i |
|
18 |
17
|
biimpri |
|
19 |
18
|
adantr |
|
20 |
|
pweq |
|
21 |
20
|
eleq1d |
|
22 |
21
|
rspccv |
|
23 |
|
nnon |
|
24 |
|
r1suc |
|
25 |
23 24
|
syl |
|
26 |
25
|
eleq1d |
|
27 |
26
|
biimprcd |
|
28 |
22 27
|
syl6 |
|
29 |
28
|
com3r |
|
30 |
29
|
adantld |
|
31 |
11 13 15 19 30
|
finds2 |
|
32 |
|
eleq1 |
|
33 |
32
|
biimpd |
|
34 |
31 33
|
syl9 |
|
35 |
34
|
rexlimiv |
|
36 |
9 35
|
sylbi |
|
37 |
36
|
com12 |
|
38 |
37
|
ssrdv |
|
39 |
|
vex |
|
40 |
39
|
ssex |
|
41 |
38 40
|
syl |
|
42 |
|
0ex |
|
43 |
|
eleq1 |
|
44 |
43
|
anbi1d |
|
45 |
44
|
exbidv |
|
46 |
|
axgroth6 |
|
47 |
|
simpr |
|
48 |
47
|
ralimi |
|
49 |
48
|
anim2i |
|
50 |
49
|
3adant3 |
|
51 |
46 50
|
eximii |
|
52 |
42 45 51
|
vtocl |
|
53 |
41 52
|
exlimiiv |
|
54 |
|
f1dmex |
|
55 |
6 53 54
|
mp2an |
|